Abstract:
This is the first of two technical reports derived from the dissertation
by Yao, Neng-Chun titled "Bispectral and Cross-bispectral Analysis
of Winds and Currents off the Oregon Coast. " In this first technical
report we give the theoretical development of the rotary component
approach to the bispectrum and cross-bispectrum among vector random
processes, as well as the development of a set of energy transfer functions
by which the nonlinear interaction among triplet frequency components
of the processes can be quantized. Statistical tests are dis -
cussed; an appendix contains computational information.